Abstract
We study the statistical errors in homodyne tomography of radiation density matrix in the photon number representation. We give an asymptotic estimate for large matrix indexes at different values of the quantum efficiency η of homodyne detectors. We show that for fixed η the errors increase exponentially as functions of the matrix index.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
G.M. D’Ariano, U. Leonhardt, and H. Paul, Homodyne detection of the density matrix of the radiation field, Phys. Rev. A 52:R1801 (1995).
G.M. D’Ariano, Latest developments in quantum tomography, in this Volume.
G.M. D’Ariano, M. Rasetti, and M. Vadacchino, Phys. Rev. D 32:1034 (1985).
C.G. Bollini, and L.E. Oxman, Shannon entropy and the eigenstates of the single mode squeeze operator, Phys. Rev. A 47:2339 (1993).
R.A. Fisher, M.M. Nieto, and V.D. Sandberg, Phys. Rev. D 29:110 (1984).
G.M. D’Ariano, C. Macchiavello, and N. Sterpi, Systematic and statistical errors in homodyne measurements of the density matrix, Quant. Semicl. Opt. 9:929 (1997).
T. Kiss, U. Herzog, and U. Leonhardt, Compensation of losses in photodetection and in quantum state measurements, Phys. Rev. A 52:2433 (1995).
G.M. D’Ariano, M. Vasilyev, and P. Kumar, Self-homodyne tomography of a twin beam state, Phys. Rev. A 58:636 (1998).
G.M. D’Ariano and C. Macchiavello, Loss-error compensation in quantumstate measurement, Phys. Rev. A 57:3131 (1998).
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2002 Kluwer Academic Publishers
About this chapter
Cite this chapter
D’Ariano, G.M., Macchiavello, C., Sterpi, N. (2002). Accuracy in Quantum Homodyne Tomography. In: Kumar, P., D’Ariano, G.M., Hirota, O. (eds) Quantum Communication, Computing, and Measurement 2. Springer, Boston, MA. https://doi.org/10.1007/0-306-47097-7_24
Download citation
DOI: https://doi.org/10.1007/0-306-47097-7_24
Publisher Name: Springer, Boston, MA
Print ISBN: 978-0-306-46307-5
Online ISBN: 978-0-306-47097-4
eBook Packages: Springer Book Archive